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14103602712 = 2334295691319
BaseRepresentation
bin11010010001010001…
…11110011000011000
31100101220102020210000
431020220332120120
5212341010241322
610251253053000
71006333434153
oct151050763030
940356366700
1014103602712
115a88130511
122897327160
131439c14464
1497b164c9a
1557829a3ac
hex348a3e618

14103602712 has 160 divisors (see below), whose sum is σ = 40968180000. Its totient is φ = 4527677952.

The previous prime is 14103602677. The next prime is 14103602719. The reversal of 14103602712 is 21720630141.

14103602712 is a `hidden beast` number, since 1 + 41 + 0 + 3 + 602 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14103602719) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10691989 + ... + 10693307.

It is an arithmetic number, because the mean of its divisors is an integer number (256051125).

Almost surely, 214103602712 is an apocalyptic number.

14103602712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14103602712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484090000).

14103602712 is an abundant number, since it is smaller than the sum of its proper divisors (26864577288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14103602712 is a wasteful number, since it uses less digits than its factorization.

14103602712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 14103602712 in words is "fourteen billion, one hundred three million, six hundred two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 569 648 696 783 1044 1138 1319 1566 1707 2088 2276 2349 2638 3132 3414 3957 4552 4698 5121 5276 6264 6828 7914 9396 10242 10552 11871 13656 15363 15828 16501 18792 20484 23742 30726 31656 33002 35613 38251 40968 46089 47484 49503 61452 66004 71226 76502 92178 94968 99006 106839 114753 122904 132008 142452 148509 153004 184356 198012 213678 229506 284904 297018 306008 344259 368712 396024 427356 445527 459012 594036 688518 750511 854712 891054 918024 1032777 1188072 1336581 1377036 1501022 1782108 2065554 2251533 2673162 2754072 3002044 3098331 3564216 4131108 4503066 5346324 6004088 6196662 6754599 8262216 9006132 10692648 12393324 13509198 18012264 20263797 21764819 24786648 27018396 40527594 43529638 54036792 60791391 65294457 81055188 87059276 121582782 130588914 162110376 174118552 195883371 243165564 261177828 391766742 486331128 522355656 587650113 783533484 1175300226 1567066968 1762950339 2350600452 3525900678 4701200904 7051801356 14103602712